What is 42.5% of 1600?
Calculate 42.5% of 1600 with a complete step-by-step solution.
Answer:
42.5% of 1600 = 680
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 42.5% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 42.5% means 42.5 out of every 100.
Step 2
Convert Percentage to Decimal
To calculate with percentages, we first convert to a decimal.
Divide the percentage by 100:
42.5 ÷ 100 = 0.425
This means 42.5% = 0.425
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.425 × 1600 = 680
So 42.5% of 1600 = 680
Step 4
Alternative Method
You can also think of it as a fraction:
42.5% of 1600 = (42.5/100) × 1600
= (42.5 × 1600) / 100
= 68000 / 100
= 680